Answer:
Step-by-step explanation:
9 = −½[−10] + b
5
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Answer:
Step-by-step explanation:
If Jeannette is eating 2.7 hot dogs per minute, the after minutes, she would have eaten hot dogs.
Furthermore, if Jeannette has already eaten 15 hot dogs, then after minutes she should have eaten a total of
hot dogs.
Since Jeannette needs to eat more than 32 hot dogs, then after minutes she should have eaten more than 32 hot dogs:
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This inequality can be solved for to find the number of minutes Jeannette needs to win the contest.
When solved, the solution is
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Answer:
Step-by-step explanation:
Let the numbers be
Such that:
Make z the subject
For their product to be maximum, we have:
Substitute in
Open bracket
Differentiate w.r.t x and y
Since the products are maximum, then
For
Factorize:
Split
Make y the subject
For
---------------------------------------------------
Substitute y = 0
Factorize
---------------------------------------------------
Substitute
Re-arrange
Factor x out
Divide through by x
Recall that:
Take LCM
Recall that:
Take LCM
Hence, the numbers are:
Answer:
PB = 15
Step-by-step explanation:
A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.